Decide which probability distribution -binomial, geometric, or Poisson- applies to the question. You do not need to
answer the question.
-Given: The probability that a federal income tax return is filled out incorrectly with an error in favor of the taxpayer is 20%. Question: What is the probability that of the ten tax returns randomly selected for an audit,
Three returns will contain only errors favoring the taxpayer?
A)binomial
B)geometric
C)Poisson

Question

Quizplus · Accepted Answer

The question is asking for the probability of a specific number of successes (three returns out of ten) in a fixed number of trials (ten), which is the definition of a binomial distribution. The scenario involves a fixed number of independent trials (selecting ten tax returns) with binary outcomes (correctly filled or filled with an error in favor of the taxpayer) and a constant probability of success (20%), making it a binomial distribution.

Decide Which Probability Distribution -Binomial, Geometric, or Poisson- Applies to the Question